Abstract
Displacement prediction of reservoir landslide remains inherently uncertain since a complete understanding of the complex nonlinear, dynamic landslide system is still lacking. An appropriate quantification of predictive uncertainties is a key underpinning of displacement prediction and mitigation of reservoir landslide. A density prediction, offering a full estimation of the probability density for future outputs, is promising for quantification of the uncertainty of landslide displacement. In the present study, a hybrid computational intelligence approach is proposed to build a density prediction model of landslide displacement and quantify the associated predictive uncertainties. The hybrid computational intelligence approach consists of two steps: first, the input variables are selected through copula analysis; second, kernel-based support vector machine quantile regression (KSVMQR) is employed to perform density prediction. The copula-KSVMQR approach is demonstrated through a complex landslide in the Three Gorges Reservoir Area (TGRA), China. The experimental study suggests that the copula-KSVMQR approach is capable of construction density prediction by providing full probability density distributions of the prediction with perfect performance. In addition, different types of predictions, including interval prediction and point prediction, can be derived from the obtained density predictions with excellent performance. The results show that the mean prediction interval widths of the proposed approach at ZG287 and ZG289 are 27.30 and 33.04, respectively, which are approximately 60 percent lower than that obtained using the traditional bootstrap-extreme learning machine-artificial neural network (Bootstrap-ELM-ANN). Moreover, the obtained point predictions show great consistency with the observations, with correlation coefficients of 0.9998. Given the satisfactory performance, the presented copula-KSVMQR approach shows a great ability to predict landslide displacement.
Highlights
As one of the most geohazard prone and complex areas, the ree Gorges Reservoir Area (TGRA) suffers from reservoir landslide disasters
The prediction interval (PI) coverage probability (PICP) and average coverage error (ACE) were used to assess the performance of the copula-kernel-based support vector machine quantile regression (KSVMQR) approach. e PICP reflects the probability that the targets lie within the constructed PI and is defined as follows: T
Density prediction offering a full probability density distribution of landslide displacement is promising for landslide early warning and mitigation
Summary
As one of the most geohazard prone and complex areas, the ree Gorges Reservoir Area (TGRA) suffers from reservoir landslide disasters. Displacement prediction has been proven to be the most cost-saving risk reduction measure [1] and has been widely applied in landslide early warning and mitigation in TGRA. Is challenge arises due to the inherent geological and mechanical complexity [2] of landslide systems with a large volume (up to millions of cubic meters) of heterogeneous materials. It is widely acknowledged among researchers and practitioners that properties of landslide materials vary spatially exhibiting heterogeneous features [3, 4]. Previous studies have proven that reservoir landslide is a complex nonlinear dynamic system [5], and movement and failure may be induced by combined and Complexity periodic effects of heavy rainfall and reservoir fluctuations [6, 7]
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